Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.

a.

4; 19; 645; 12,645

c.

1; 19; 645; 12,645

b.

1; 16; 121; 13,456

d.

4; 16; 121; 13,456

select the best answer from the choices provided

a

b

c

d

  b.  1; 16; 121; 13,456

Step-by-step explanation:

A suitable calculator or spreadsheet can compute these for you.

Put the value of x into the formula to find the first iterate. Repeat for successive iterates.

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Comment on the answer choices

You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.

can you rephrase the question ? it is unclear : -)

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: